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SSC CHSL 2022 · PYQ · Mensuration · medium

If the surface area of a sphere is 64π cm², then the volume of the sphere is:

Answer

The correct answer is D: 256/3 π cm³. 4πr² = 64π → r² = 16 → r = 4 cm. Volume = (4/3)πr³ = (4/3)π(64) = 256π/3 cm³.

  1. A.251/5 π cm³
  2. B.241/3 π cm³
  3. C.226/3 π cm³
  4. D.256/3 π cm³✓ Correct

Explanation

4πr² = 64π → r² = 16 → r = 4 cm. Volume = (4/3)πr³ = (4/3)π(64) = 256π/3 cm³.
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